The above tells us that all values of m that are less than or equal to 4.3 will satisfy the inequality.
Checking Our Answer
Let's Check Our Answer!
We can check our solution by substituting a few values into the given inequality. The value satisfies the inequality if the inequality remains true after substituting and simplifying.
m
1.2 + m ≤ 5.5
Simplify
True or False?
4.2
1.2 + 4.2 ≤ 5.5
5.4 ≤ 5.5
True
4.3
1.2 + 4.3 ≤ 5.5
5.5 ≤ 5.5
True
4.4
1.2 + 4.4 ≤ 5.5
5.6 ≰ 5.5
False
We can conclude that as long as m is less than or equal to 4.3, the inequality is satisfied.
